Particle in Expanded 1D Box

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Homework Statement


A particle was originally in a 1D potential box of length L and in its ground state. However, the walls of the box expanded symmetrically to 2L suddenly. Calculate the probability of the particle remaining in its ground state.

Homework Equations


[tex]\psi[/tex](x) = [tex]\sqrt{\frac{2}{L}}[/tex] sin ([tex]\frac{n\pi x}{L}[/tex])

The Attempt at a Solution


When I checked https://www.physicsforums.com/showthread.php?t=68816", the answer seems to be (8/3pi)^2... Can anyone guide me as to what is wrong with my working?

File0014.jpg


Please pardon my handwriting...

Thanks!
 
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